MATHEMATICS MIDDLE SCHOOL

What is the exact volume of the cone?base 7in
height 4in

PLEASE HELP ASAP

Answers

Answer 1
Answer: The volume formula of a cone is (1)/(3) \pi r^(2) h the r is the radius and h is the height.  However, if you multiply by pi, you will get an approximated volume of the cone.  So we will multiply like this for now. (1)/(3) r^(2) h Don't worry, we'll use pi in the end.  

I'm going to assume that 7 inches is your radius.  We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this. (1)/(3) 7^(2) 4

(1)/(3) means we will need to divide one by 3.  That gives us 0.33333... now we have to multiply by 7^(2) we get 16.33333...  now the last thing we need to do is multiply by 4, which is h.  We get 65.33333.  Add pi and you have your answer. 65.333333333 \pi

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A cone-shaped container is filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liquid is drained from the container at a rate of 1099 cm3 per hour.How many hours will it take to drain all of the liquid?Use 3.14 to approximate pi.

Answers

pi * 60^2 * 210/3 = 791681
divide 791681 by 1099, 
720 hours.

It takes 720 hours or 30 days to drain the liquid.

Answer:

The answer is 720 hours

Mrs morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points . The maximum number of points possible on the test is 100.Questions need help with the graphics

Answers

I can solve it, but I am struggling on explaining how I solved it. Here's the answer.

x+y=15

5x+10y=100

x=10 and y=5

10+5=15

5(10)+10(5)=100
50+50=100
100=100

Use the graph to determine the input value forwhich f(x) = g(x) is true.
Ox=0.5
x = 1
OX= 1.5
Ox=2

Answers

The input value for which f(x) = g(x) is true is x= 1.5.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

The intersection both functions is the point when f(x)=g(x).

As, the point of intersection both graphs is (5, 2)

Here for the input value of x= 1.5

f(1.5)= 2

g(1.5)= 2.

So, f(1.5)= g(1.5)= 2

Learn more about Function here:

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Answer: x=1.5

Step-by-step explanation:

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a heart? Outcome Club Diamond Heart Spade Number of trials 8 12 14 6 A. 15% B. 25% C. 27% D. 35%

Answers

The correct answer for the question that is being presented above is this one: " C. 27% ." Relative Frequency is how often something happened divided by the number of situations when it could have happened (trials). So in our examples we divide the number of outcomes by trials:

Answer:

I took the test and got 35%

Step-by-step explanation:

Round 354,605 to nearest thousand

Answers

Answer

355,000.


Explanation

When rounding numbers we count digits from the right to the left. The first place value from the right is once followed by tens, hundreds, thousands etc.

354,605

5 ⇒ ones

0 ⇒ tens

6 ⇒ hundreds

4 ⇒ thousands

354,605 to the nearest thousands is 355,000.

Answer:

355,000

Step-by-step explanation:

We have been given an number 354,605. We are asked to round our given number to the nearest thousand.

Upon looking at our given number we can see that the value of the 1st dropped figure that is at hundreds place value, is greater than 5.

Since hundreds place value is 6 or we can see that last three digits are 605, therefore, we will round up our number to nearest thousand as:

354,605\approx 355,000

Find three solutions for y=-2x-1

Answers

Answer:

(1, -3)

(2, -5)

(3, -7)

Step-by-step explanation:

Randomly choose three values for "x". Substitute each of them separately into the formula to find the "y". Then write the solution as an ordered pair (x, y).

I will choose x=1, x=2 and x=3.

When x=1:

y = -2x - 1

y = -2(1) - 1

y = -2 - 1

y = -3

(1, -3)

When x=2:

y = -2x - 1

y = -2(2) - 1

y = -4 - 1

y = -5

(2 , -5)

When x=3:

y = -2x - 1

y = -2(3) - 1

y = -6 - 1

y = -7

(3, -7)

Three solutions for y = -2x - 1 are (0, -1), (2, -5), and (-3, 5), where x and y are related by this linear equation.

The equation y = -2x - 1 represents a linear relationship between x and y. To find three solutions for this equation, you can choose different values for x and calculate the corresponding values of y. Here are three solutions:

Solution 1:

Let x = 0:

y = -2(0) - 1

y = 0 - 1

y = -1

So, one solution is (0, -1).

Solution 2:

Let x = 2:

y = -2(2) - 1

y = -4 - 1

y = -5

So, another solution is (2, -5).

Solution 3:

Let x = -3:

y = -2(-3) - 1

y = 6 - 1

y = 5

So, a third solution is (-3, 5).

You can choose any values for x and calculate the corresponding y-values to find more solutions to this linear equation.

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